Metastable states of a ferromagnet on random thin graphs

Details Metastable states of a ferromagnet on random thin graphs Metastable states of a ferromagnet on random thin graphs

2000-11-15

arxiv.org/abs/cond-mat/0011265v1

EUR PHYS J B 21 (1): 121-128 MAY 2001

Physics

Condensed Matter

Disordered Systems and Neural Networks

15 pages, 3 figures

Scientific paper

10.1007/s100510170221

We calculate the mean number of metastable states of an Ising ferromagnet on random thin graphs of fixed connectivity c. We find, as for mean field spin glasses that this mean increases exponentially with the number of sites, and is the same as that calculated for the +/- J spin glass on the same graphs. An annealed calculation of the number of metastable states of energy E is carried out. For small c, an analytic result is obtained. The result is compared with the one obtained for spin glasses in order to discuss the role played by loops on thin graphs and hence the effect of real frustration on the distribution of metastable states.

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